MATH07012 2009 Mathematics and Statistics
Full Title
Mathematics and Statistics
Transcript Title
Mathematics and Statistics
Code
MATH07012
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MENG - Mech. and Electronic Eng.
Level
07 - NFQ Level 7
Credit
05 - 05 Credits
Duration
Semester
Fee
€
Start Term
2009 - Full Academic Year 2009-10
End Term
9999 - The End of Time
Author(s)
Grace Corcoran
Programme Membership
SG_EQUAL_J07 200900 Bachelor of Science in Quality
SG_EQUAL_J07 200900 Bachelor of Science in Quality
SG_EENGI_B07 200900 Bachelor of Science in Engineering Management
Description
Apply statistical and probability techniques to present and analyse data. The student will be able to use differentiation to solve optimisation problems calculate % errors.
Learning Outcomes
On completion of this module the learner will/should be able to;
1.
Rearrange and solve practical algebraic, logarithmic and trigonometrical equations
2.
Draw and interpret graphs
3.
Use differentiation techniques of product, quotient and chain rule to differentiate explicit functions
4.
Use partial differentiation to calculate rates of change and % errors
5.
Apply the product, quotient and chain rule to solve optimisation problem
6.
Compute the mean, median, mode, standard deviation and variance of data
7.
Apply the probability rules to calculate the probability of events
8.
Use the binomial, Poisson and standard normal distribution to calculate the probability of events
Indicative Syllabus
- Functions, rectangular coordinates, and equation of straight line, polynomial cubic and experimental graphs. Transformation of exponential graph to straight line form by logs graphs, reduction of non linear graphs to straight line format, quadratic, exponential and trigonometric functions
- Rules of indices, logarithms, base 10 and e, solution of logarithmic equations, exponential functions, growth and decay curves, half-life problems
- Solve quadratic equations, simultaneous three unknowns, partial factors, remainder theorem and factor theorem, transformation of formulae
- Applications of differentiation to engineering problems of velocity, acceleration,
- Trigonometry: Solution of right angled and non-right angled triangles, trigonometric identities, graph of trig functions
- Calculus: Differentiation of a wide range of polynomial and trigonometric functions. Product, quotient and chain rule. Maxima and Minima, rates of change, and partial differentiation
- Organisation of raw data into classes, class boundaries and class intervals. Frequencies and relative frequencies, histograms. Measurement of central tendency-mean, median, mode. Cumulative frequency curve, quartiles, interquartile range. Dispersion- range, variance and standard deviation
- Probability Laws - independent and dependent events, addition and multiplication laws.
- Normal distribution curve, standard normal curve, and area under the standard normal curve. Binomial and Poisson distributions
Coursework & Assessment Breakdown
Coursework & Continuous Assessment
30 %
End of Semester / Year Formal Exam
70 %
Coursework Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Other Exam Christmas exam o/l and written | Coursework Assessment | UNKNOWN | 15 % | OnGoing | 1,2,3,4,5,6,7,8 |
| 2 | Other Exam easter exam o/l and written | Coursework Assessment | UNKNOWN | 15 % | OnGoing | 1,2,3,4,5,6,7,8 |
End of Semester / Year Assessment
| Title | Type | Form | Percent | Week | Learning Outcomes Assessed | |
|---|---|---|---|---|---|---|
| 1 | Final Exam final exam | Final Exam | UNKNOWN | 70 % | End of Year | 1,2,3,4,5,6,7,8 |
Part Time Mode Workload
| Type | Location | Description | Hours | Frequency | Avg Workload |
|---|---|---|---|---|---|
| Lecture | Distance Learning Suite | Theory | 2 | Weekly | 2.00 |
| Tutorial | Distance Learning Suite | practical hours | 1 | Weekly | 1.00 |
Total Part Time Average Weekly Learner Contact Time 3.00 Hours
Module Resources
Non ISBN Literary Resources
|
Authors |
Title |
Publishers |
Year |
|
K.A.Stroud |
Engineering Mathematics |
Palgrave and Macmillan |
2007 |
Other Resources
None